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Finding the Third Proportional to 338,884 and 733,557

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Solution

The third proportional to 338,884 and 733,557 is: 1,587,876.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,884 : 733,557 = 733,557 : x
  2. Step 2: Convert to fraction form
    338,884/733,557 = 733,557/x
  3. Step 3: Cross multiply
    338,884x = 733,557 × 733,557
  4. Step 4: Simplify right side
    338,884x = 538,105,872,249
  5. Step 5: Solve for x
    x = 538,105,872,249/338,884
  6. Step 6: Final answer
    x = 1,587,876.30

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.